please reference the following attachment

4.1 (20 mks) Find the core payoffs both graphically and algebraically for the following game T = (N, V(.)}: N = (1, 2, 3}, v(1) = v(2) = v(3) = 0, v(12) = 2.5, v(13) = 2, v(23) = 1.5, v(123) = 4. 4.2 (20 mks) Consider I = {N, v(.)}, where N = {1, 2, 3}, v(1) =0, v(2) = v(3) = 0.8, v(12) = v(13) = v(23) = 2.4, v(123) = 4.8. a) Compute its Shapley value; b) Show that the Shapley is in the core